TSTP Solution File: GRP244-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP244-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:37 EDT 2023
% Result : Unsatisfiable 87.31s 71.84s
% Output : CNFRefutation 87.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 59
% Syntax : Number of formulae : 788 ( 599 unt; 14 typ; 0 def)
% Number of atoms : 1260 (1208 equ)
% Maximal formula atoms : 15 ( 1 avg)
% Number of connectives : 1043 ( 557 ~; 486 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 467 (; 467 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c11 > sk_c10 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c10,type,
sk_c10: $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c11,type,
sk_c11: $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_209,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_269,axiom,
! [X5,X6,X3,X7,X1,X2,X8,X4] :
( ( multiply(X4,sk_c11) != sk_c10 )
| ( inverse(X4) != sk_c11 )
| ( multiply(X5,sk_c10) != sk_c9 )
| ( inverse(X5) != sk_c10 )
| ( inverse(X6) != sk_c11 )
| ( multiply(X6,sk_c10) != sk_c11 )
| ( multiply(X1,sk_c11) != sk_c10 )
| ( inverse(X1) != sk_c11 )
| ( multiply(X2,sk_c10) != sk_c9 )
| ( inverse(X2) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(X3,sk_c10) != sk_c11 )
| ( multiply(X7,X8) != sk_c10 )
| ( inverse(X7) != X8 )
| ( multiply(X8,sk_c9) != sk_c10 ) ),
file(unknown,unknown) ).
tff(f_203,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_200,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_218,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_221,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_212,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_215,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_206,axiom,
( ( multiply(sk_c3,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( multiply(sk_c2,sk_c10) = sk_c9 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c11) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_146,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c9) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c4,sk_c11) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c4) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c6,sk_c10) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c6) = sk_c11 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c5,sk_c10) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_191,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c10 ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_86,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_133,plain,
inverse(sk_c3) = sk_c11,
inference(splitLeft,[status(thm)],[c_86]) ).
tff(c_137,plain,
multiply(sk_c11,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_115540,plain,
! [X_545,Y_546,Z_547] : ( multiply(multiply(X_545,Y_546),Z_547) = multiply(X_545,multiply(Y_546,Z_547)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_115588,plain,
! [X_2,Z_547] : ( multiply(inverse(X_2),multiply(X_2,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115540]) ).
tff(c_116036,plain,
! [X_560,Z_561] : ( multiply(inverse(X_560),multiply(X_560,Z_561)) = Z_561 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115588]) ).
tff(c_116132,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_116036]) ).
tff(c_16,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_179,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_32,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_155,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_159,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_155,c_4]) ).
tff(c_111747,plain,
! [X_472,Y_473,Z_474] : ( multiply(multiply(X_472,Y_473),Z_474) = multiply(X_472,multiply(Y_473,Z_474)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_111795,plain,
! [Z_474] : ( multiply(sk_c11,multiply(sk_c1,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_111747]) ).
tff(c_111821,plain,
! [Z_475] : ( multiply(sk_c11,multiply(sk_c1,Z_475)) = Z_475 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111795]) ).
tff(c_111833,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_111821]) ).
tff(c_111804,plain,
! [X_2,Z_474] : ( multiply(inverse(X_2),multiply(X_2,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_111747]) ).
tff(c_112351,plain,
! [X_490,Z_491] : ( multiply(inverse(X_490),multiply(X_490,Z_491)) = Z_491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111804]) ).
tff(c_112396,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_111833,c_112351]) ).
tff(c_112477,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_112396]) ).
tff(c_70,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_147,plain,
inverse(sk_c2) = sk_c10,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_112508,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_112477,c_147]) ).
tff(c_112526,plain,
multiply(identity,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_112508,c_4]) ).
tff(c_111819,plain,
! [X_2,Z_474] : ( multiply(inverse(X_2),multiply(X_2,Z_474)) = Z_474 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111804]) ).
tff(c_112533,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_112526,c_111819]) ).
tff(c_112545,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_112533]) ).
tff(c_232,plain,
! [X_16,Y_17,Z_18] : ( multiply(multiply(X_16,Y_17),Z_18) = multiply(X_16,multiply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_256,plain,
! [Z_18] : ( multiply(sk_c11,multiply(sk_c1,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_159,c_232]) ).
tff(c_278,plain,
! [Z_19] : ( multiply(sk_c11,multiply(sk_c1,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_256]) ).
tff(c_290,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_278]) ).
tff(c_265,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_232]) ).
tff(c_603,plain,
! [X_29,Z_30] : ( multiply(inverse(X_29),multiply(X_29,Z_30)) = Z_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_633,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_290,c_603]) ).
tff(c_677,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_633]) ).
tff(c_253,plain,
! [Z_18] : ( multiply(sk_c1,multiply(sk_c11,Z_18)) = multiply(sk_c10,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_179,c_232]) ).
tff(c_1588,plain,
! [Z_46] : ( multiply(sk_c1,multiply(sk_c11,Z_46)) = Z_46 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_677,c_253]) ).
tff(c_1615,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_1588]) ).
tff(c_1618,plain,
multiply(sk_c1,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_1588]) ).
tff(c_1726,plain,
sk_c3 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1615,c_1618]) ).
tff(c_104,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_199,plain,
multiply(sk_c3,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_729,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_677,c_199]) ).
tff(c_1728,plain,
multiply(sk_c1,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_729]) ).
tff(c_1731,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1615,c_1728]) ).
tff(c_1744,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_1731,c_155]) ).
tff(c_276,plain,
! [X_2,Z_18] : ( multiply(inverse(X_2),multiply(X_2,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_1655,plain,
multiply(inverse(sk_c3),sk_c11) = identity,
inference(superposition,[status(thm),theory(equality)],[c_729,c_276]) ).
tff(c_1664,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133,c_1655]) ).
tff(c_1785,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1731,c_1731,c_1664]) ).
tff(c_1810,plain,
! [X_49,Z_50] : ( multiply(inverse(inverse(X_49)),Z_50) = multiply(X_49,Z_50) ),
inference(superposition,[status(thm),theory(equality)],[c_603,c_276]) ).
tff(c_669,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_603]) ).
tff(c_1817,plain,
! [X_49] : ( multiply(X_49,identity) = X_49 ),
inference(superposition,[status(thm),theory(equality)],[c_1810,c_669]) ).
tff(c_1053,plain,
! [X_35,Z_36] : ( multiply(inverse(inverse(X_35)),Z_36) = multiply(X_35,Z_36) ),
inference(superposition,[status(thm),theory(equality)],[c_276,c_603]) ).
tff(c_1060,plain,
! [X_35] : ( multiply(X_35,identity) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_1053,c_669]) ).
tff(c_58,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_186,plain,
multiply(sk_c2,sk_c10) = sk_c9,
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_151,plain,
multiply(sk_c10,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_147,c_4]) ).
tff(c_259,plain,
! [Z_18] : ( multiply(sk_c10,multiply(sk_c2,Z_18)) = multiply(identity,Z_18) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_232]) ).
tff(c_301,plain,
! [Z_20] : ( multiply(sk_c10,multiply(sk_c2,Z_20)) = Z_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_259]) ).
tff(c_313,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_186,c_301]) ).
tff(c_627,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_313,c_603]) ).
tff(c_676,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_627]) ).
tff(c_404,plain,
! [X_24,Z_25] : ( multiply(inverse(X_24),multiply(X_24,Z_25)) = Z_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_265]) ).
tff(c_434,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_290,c_404]) ).
tff(c_478,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_434]) ).
tff(c_428,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_313,c_404]) ).
tff(c_477,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_428]) ).
tff(c_522,plain,
multiply(sk_c2,sk_c10) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_477,c_186]) ).
tff(c_548,plain,
multiply(sk_c2,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_522]) ).
tff(c_533,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_147]) ).
tff(c_116,plain,
! [X5_6,X4_13,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( inverse(X4_13) != sk_c11 )
| ( multiply(X4_13,sk_c11) != sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_348,plain,
! [X4_22] :
( ( inverse(X4_22) != sk_c11 )
| ( multiply(X4_22,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_358,plain,
inverse(sk_c1) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_179,c_348]) ).
tff(c_371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155,c_358]) ).
tff(c_372,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_380,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_372]) ).
tff(c_563,plain,
! [X7_27] :
( ( multiply(inverse(X7_27),identity) != identity )
| ( multiply(X7_27,inverse(X7_27)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_478,c_478,c_477,c_380]) ).
tff(c_565,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c2,inverse(sk_c2)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_533,c_563]) ).
tff(c_578,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_548,c_533,c_2,c_565]) ).
tff(c_579,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_372]) ).
tff(c_761,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_677,c_676,c_677,c_677,c_677,c_677,c_676,c_677,c_677,c_579]) ).
tff(c_762,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_761]) ).
tff(c_1538,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1060,c_762]) ).
tff(c_731,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_677,c_151]) ).
tff(c_803,plain,
sk_c2 = identity,
inference(superposition,[status(thm),theory(equality)],[c_2,c_731]) ).
tff(c_732,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_677,c_147]) ).
tff(c_810,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_732]) ).
tff(c_1540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1538,c_810]) ).
tff(c_1541,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_761]) ).
tff(c_41862,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1731,c_1817,c_1731,c_1817,c_1731,c_1731,c_1731,c_1817,c_1731,c_1541]) ).
tff(c_41864,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_41862]) ).
tff(c_41866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41864,c_1744]) ).
tff(c_41867,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_41862]) ).
tff(c_107591,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_41867]) ).
tff(c_107593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107591,c_1744]) ).
tff(c_107594,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_41867]) ).
tff(c_107596,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_107594]) ).
tff(c_672,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_603]) ).
tff(c_1572,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_731,c_276]) ).
tff(c_1584,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_672,c_1572]) ).
tff(c_1628,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1584,c_732]) ).
tff(c_107598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107596,c_1628]) ).
tff(c_109804,plain,
! [X1_433] :
( ( inverse(X1_433) != sk_c1 )
| ( multiply(X1_433,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_107594]) ).
tff(c_109874,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_1785,c_109804]) ).
tff(c_109904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1744,c_109874]) ).
tff(c_109906,plain,
multiply(sk_c3,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_100,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_109921,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_109906,c_100]) ).
tff(c_98,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_109988,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_109906,c_98]) ).
tff(c_109999,plain,
! [X_434,Y_435,Z_436] : ( multiply(multiply(X_434,Y_435),Z_436) = multiply(X_434,multiply(Y_435,Z_436)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_110050,plain,
! [Z_436] : ( multiply(sk_c10,multiply(sk_c2,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_109999]) ).
tff(c_110096,plain,
! [Z_438] : ( multiply(sk_c10,multiply(sk_c2,Z_438)) = Z_438 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_110050]) ).
tff(c_110108,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_186,c_110096]) ).
tff(c_114,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_109973,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_109906,c_114]) ).
tff(c_110,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_109994,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_109906,c_110]) ).
tff(c_111280,plain,
! [Z_466] : ( multiply(sk_c7,multiply(sk_c8,Z_466)) = multiply(sk_c10,Z_466) ),
inference(superposition,[status(thm),theory(equality)],[c_109994,c_109999]) ).
tff(c_111301,plain,
multiply(sk_c7,sk_c10) = multiply(sk_c10,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_109973,c_111280]) ).
tff(c_111309,plain,
multiply(sk_c7,sk_c10) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_110108,c_111301]) ).
tff(c_112,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_109933,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_109906,c_112]) ).
tff(c_109937,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109933,c_4]) ).
tff(c_110032,plain,
! [Z_436] : ( multiply(sk_c8,multiply(sk_c7,Z_436)) = multiply(identity,Z_436) ),
inference(superposition,[status(thm),theory(equality)],[c_109937,c_109999]) ).
tff(c_110065,plain,
! [Z_436] : ( multiply(sk_c8,multiply(sk_c7,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_110032]) ).
tff(c_111313,plain,
multiply(sk_c8,sk_c10) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_111309,c_110065]) ).
tff(c_110476,plain,
! [Z_450] : ( multiply(sk_c8,multiply(sk_c7,Z_450)) = Z_450 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_110032]) ).
tff(c_110488,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_109994,c_110476]) ).
tff(c_111320,plain,
sk_c8 = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_111313,c_110488]) ).
tff(c_111337,plain,
multiply(sk_c10,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111320,c_109937]) ).
tff(c_111304,plain,
multiply(sk_c7,identity) = multiply(sk_c10,sk_c7),
inference(superposition,[status(thm),theory(equality)],[c_109937,c_111280]) ).
tff(c_111374,plain,
multiply(sk_c7,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_111337,c_111304]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_111378,plain,
! [Z_5] : ( multiply(sk_c7,multiply(identity,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_111374,c_6]) ).
tff(c_111381,plain,
! [Z_5] : ( multiply(sk_c7,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_111378]) ).
tff(c_111334,plain,
! [Z_436] : ( multiply(sk_c10,multiply(sk_c7,Z_436)) = Z_436 ),
inference(demodulation,[status(thm),theory(equality)],[c_111320,c_110065]) ).
tff(c_111471,plain,
! [Z_469] : ( multiply(sk_c10,Z_469) = Z_469 ),
inference(demodulation,[status(thm),theory(equality)],[c_111381,c_111334]) ).
tff(c_111480,plain,
sk_c9 = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_111471,c_110108]) ).
tff(c_106,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_109952,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_109906,c_106]) ).
tff(c_108,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_109960,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_109906,c_108]) ).
tff(c_109905,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_102,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( multiply(sk_c3,sk_c10) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_109982,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_109906,c_102]) ).
tff(c_110172,plain,
! [X4_442] :
( ( inverse(X4_442) != sk_c11 )
| ( multiply(X4_442,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_110182,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_109988,c_110172]) ).
tff(c_110198,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109921,c_110182]) ).
tff(c_110199,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_110445,plain,
! [X7_449] :
( ( multiply(inverse(X7_449),sk_c9) != sk_c10 )
| ( multiply(X7_449,inverse(X7_449)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_110199]) ).
tff(c_110449,plain,
( ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_109933,c_110445]) ).
tff(c_110466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109994,c_109933,c_109973,c_110449]) ).
tff(c_110467,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_110199]) ).
tff(c_110626,plain,
! [X5_454] :
( ( inverse(X5_454) != sk_c10 )
| ( multiply(X5_454,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_110467]) ).
tff(c_110645,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_109982,c_110626]) ).
tff(c_110664,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109905,c_110645]) ).
tff(c_110665,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_110467]) ).
tff(c_110874,plain,
! [X3_458] :
( ( multiply(X3_458,sk_c10) != sk_c11 )
| ( inverse(X3_458) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_110665]) ).
tff(c_110896,plain,
inverse(sk_c6) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_109960,c_110874]) ).
tff(c_110913,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109952,c_110896]) ).
tff(c_110914,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_110665]) ).
tff(c_111165,plain,
! [X6_463] :
( ( multiply(X6_463,sk_c10) != sk_c11 )
| ( inverse(X6_463) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_110914]) ).
tff(c_111191,plain,
inverse(sk_c6) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_109960,c_111165]) ).
tff(c_111210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109952,c_111191]) ).
tff(c_111211,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_110914]) ).
tff(c_111372,plain,
! [X2_11] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_111211]) ).
tff(c_111553,plain,
! [X2_470] :
( ( inverse(X2_470) != sk_c10 )
| ( multiply(X2_470,sk_c10) != sk_c10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111480,c_111372]) ).
tff(c_111578,plain,
inverse(identity) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_2,c_111553]) ).
tff(c_109910,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109905,c_4]) ).
tff(c_111489,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_111471,c_109910]) ).
tff(c_111544,plain,
inverse(identity) = sk_c10,
inference(demodulation,[status(thm),theory(equality)],[c_111489,c_109905]) ).
tff(c_111596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111578,c_111544]) ).
tff(c_111608,plain,
! [X1_471] :
( ( inverse(X1_471) != sk_c11 )
| ( multiply(X1_471,sk_c11) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_111211]) ).
tff(c_111622,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_109988,c_111608]) ).
tff(c_111639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109921,c_111622]) ).
tff(c_111641,plain,
multiply(sk_c2,sk_c10) != sk_c9,
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_48,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_111728,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_111641,c_48]) ).
tff(c_50,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( multiply(sk_c2,sk_c10) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_111678,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_111641,c_50]) ).
tff(c_111682,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_111678,c_4]) ).
tff(c_111780,plain,
! [Z_474] : ( multiply(sk_c10,multiply(sk_c5,Z_474)) = multiply(identity,Z_474) ),
inference(superposition,[status(thm),theory(equality)],[c_111682,c_111747]) ).
tff(c_111984,plain,
! [Z_483] : ( multiply(sk_c10,multiply(sk_c5,Z_483)) = Z_483 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_111780]) ).
tff(c_111996,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_111728,c_111984]) ).
tff(c_112375,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_111996,c_112351]) ).
tff(c_112476,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_112375]) ).
tff(c_112505,plain,
multiply(sk_c2,identity) != sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_112477,c_111641]) ).
tff(c_112774,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_112545,c_112476,c_112505]) ).
tff(c_112776,plain,
multiply(sk_c1,sk_c11) != sk_c10,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_20,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_112862,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_112776,c_20]) ).
tff(c_22,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_112838,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_112776,c_22]) ).
tff(c_112842,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_112838,c_4]) ).
tff(c_112889,plain,
! [X_494,Y_495,Z_496] : ( multiply(multiply(X_494,Y_495),Z_496) = multiply(X_494,multiply(Y_495,Z_496)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_112919,plain,
! [Z_496] : ( multiply(sk_c8,multiply(sk_c7,Z_496)) = multiply(identity,Z_496) ),
inference(superposition,[status(thm),theory(equality)],[c_112842,c_112889]) ).
tff(c_113078,plain,
! [Z_502] : ( multiply(sk_c8,multiply(sk_c7,Z_502)) = Z_502 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_112919]) ).
tff(c_113090,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_112862,c_113078]) ).
tff(c_112946,plain,
! [X_2,Z_496] : ( multiply(inverse(X_2),multiply(X_2,Z_496)) = multiply(identity,Z_496) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_112889]) ).
tff(c_113502,plain,
! [X_514,Z_515] : ( multiply(inverse(X_514),multiply(X_514,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_112946]) ).
tff(c_113544,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_113090,c_113502]) ).
tff(c_113641,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_113544]) ).
tff(c_8,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_112884,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_112776,c_8]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_112789,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_112776,c_10]) ).
tff(c_112793,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_112789,c_4]) ).
tff(c_112931,plain,
! [Z_496] : ( multiply(sk_c11,multiply(sk_c4,Z_496)) = multiply(identity,Z_496) ),
inference(superposition,[status(thm),theory(equality)],[c_112793,c_112889]) ).
tff(c_113390,plain,
! [Z_510] : ( multiply(sk_c11,multiply(sk_c4,Z_510)) = Z_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_112931]) ).
tff(c_113402,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_112884,c_113390]) ).
tff(c_113806,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_113641,c_113402]) ).
tff(c_112833,plain,
multiply(sk_c3,sk_c10) = sk_c11,
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_113813,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_113641,c_112833]) ).
tff(c_112904,plain,
! [Z_496] : ( multiply(sk_c4,multiply(sk_c11,Z_496)) = multiply(sk_c10,Z_496) ),
inference(superposition,[status(thm),theory(equality)],[c_112884,c_112889]) ).
tff(c_114084,plain,
! [Z_520] : ( multiply(sk_c4,multiply(sk_c11,Z_520)) = Z_520 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_113641,c_112904]) ).
tff(c_114126,plain,
multiply(sk_c4,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_114084]) ).
tff(c_114117,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_112793,c_114084]) ).
tff(c_114266,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_114126,c_114117]) ).
tff(c_114284,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_114266,c_114126]) ).
tff(c_114291,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_113813,c_114284]) ).
tff(c_114304,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_114291,c_114266]) ).
tff(c_114123,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_159,c_114084]) ).
tff(c_114356,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_113806,c_114304,c_114123]) ).
tff(c_114366,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_114356,c_155]) ).
tff(c_114393,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_114366,c_4]) ).
tff(c_113816,plain,
multiply(sk_c1,sk_c11) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_113641,c_112776]) ).
tff(c_114363,plain,
multiply(sk_c1,sk_c1) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_114356,c_113816]) ).
tff(c_114430,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114393,c_114363]) ).
tff(c_114432,plain,
multiply(sk_c3,sk_c10) != sk_c11,
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_114450,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_114432,c_98]) ).
tff(c_114490,plain,
! [X_523,Y_524,Z_525] : ( multiply(multiply(X_523,Y_524),Z_525) = multiply(X_523,multiply(Y_524,Z_525)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_114529,plain,
! [Z_525] : ( multiply(sk_c11,multiply(sk_c4,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_112793,c_114490]) ).
tff(c_114732,plain,
! [Z_535] : ( multiply(sk_c11,multiply(sk_c4,Z_535)) = Z_535 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114529]) ).
tff(c_114744,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_114450,c_114732]) ).
tff(c_114544,plain,
! [X_2,Z_525] : ( multiply(inverse(X_2),multiply(X_2,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_114490]) ).
tff(c_114810,plain,
! [X_537,Z_538] : ( multiply(inverse(X_537),multiply(X_537,Z_538)) = Z_538 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114544]) ).
tff(c_114840,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_114744,c_114810]) ).
tff(c_114945,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_114840]) ).
tff(c_115006,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_114945,c_114744]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_114455,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_112776,c_18]) ).
tff(c_112775,plain,
inverse(sk_c6) = sk_c11,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_112780,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_112775,c_4]) ).
tff(c_114532,plain,
! [Z_525] : ( multiply(sk_c11,multiply(sk_c6,Z_525)) = multiply(identity,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_112780,c_114490]) ).
tff(c_114708,plain,
! [Z_534] : ( multiply(sk_c11,multiply(sk_c6,Z_534)) = Z_534 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114532]) ).
tff(c_114720,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_114455,c_114708]) ).
tff(c_115007,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114945,c_114720]) ).
tff(c_114517,plain,
! [Z_525] : ( multiply(sk_c4,multiply(sk_c11,Z_525)) = multiply(sk_c10,Z_525) ),
inference(superposition,[status(thm),theory(equality)],[c_114450,c_114490]) ).
tff(c_115315,plain,
! [Z_544] : ( multiply(sk_c4,multiply(sk_c11,Z_544)) = Z_544 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114945,c_114517]) ).
tff(c_115336,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_115007,c_115315]) ).
tff(c_115348,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_112793,c_115315]) ).
tff(c_115382,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_115336,c_115348]) ).
tff(c_115357,plain,
multiply(sk_c4,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_115315]) ).
tff(c_115413,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_115006,c_115382,c_115357]) ).
tff(c_115014,plain,
multiply(sk_c3,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_114945,c_114432]) ).
tff(c_115414,plain,
multiply(sk_c11,identity) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_115413,c_115014]) ).
tff(c_115420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115006,c_115414]) ).
tff(c_115422,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_115447,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_115422,c_34]) ).
tff(c_115451,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115447,c_4]) ).
tff(c_116108,plain,
multiply(inverse(sk_c11),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_115451,c_116036]) ).
tff(c_117599,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_116132,c_116108]) ).
tff(c_26,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_115519,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_115422,c_26]) ).
tff(c_28,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_115439,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_115422,c_28]) ).
tff(c_115443,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115439,c_4]) ).
tff(c_115576,plain,
! [Z_547] : ( multiply(sk_c11,multiply(sk_c4,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_115443,c_115540]) ).
tff(c_115755,plain,
! [Z_555] : ( multiply(sk_c11,multiply(sk_c4,Z_555)) = Z_555 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115576]) ).
tff(c_115767,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_115519,c_115755]) ).
tff(c_116054,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_115767,c_116036]) ).
tff(c_116145,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116054]) ).
tff(c_36,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_115489,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_115422,c_36]) ).
tff(c_116167,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_116145,c_115489]) ).
tff(c_117601,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_117599,c_116167]) ).
tff(c_116111,plain,
multiply(inverse(sk_c11),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_115443,c_116036]) ).
tff(c_117568,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_116132,c_116111]) ).
tff(c_115555,plain,
! [Z_547] : ( multiply(sk_c4,multiply(sk_c11,Z_547)) = multiply(sk_c10,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_115519,c_115540]) ).
tff(c_117611,plain,
! [Z_583] : ( multiply(sk_c3,multiply(sk_c11,Z_583)) = Z_583 ),
inference(demodulation,[status(thm),theory(equality)],[c_117568,c_2,c_116145,c_115555]) ).
tff(c_117638,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_117611]) ).
tff(c_117663,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_117601,c_117638]) ).
tff(c_117672,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_117663,c_133]) ).
tff(c_115573,plain,
! [Z_547] : ( multiply(sk_c11,multiply(sk_c6,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_115451,c_115540]) ).
tff(c_115653,plain,
! [Z_551] : ( multiply(sk_c11,multiply(sk_c6,Z_551)) = Z_551 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115573]) ).
tff(c_115665,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_115489,c_115653]) ).
tff(c_116161,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116145,c_115665]) ).
tff(c_115602,plain,
! [X_2,Z_547] : ( multiply(inverse(X_2),multiply(X_2,Z_547)) = Z_547 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115588]) ).
tff(c_117712,plain,
! [X_584,Z_585] : ( multiply(inverse(inverse(X_584)),Z_585) = multiply(X_584,Z_585) ),
inference(superposition,[status(thm),theory(equality)],[c_116036,c_115602]) ).
tff(c_116138,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_116036]) ).
tff(c_117719,plain,
! [X_584] : ( multiply(X_584,identity) = X_584 ),
inference(superposition,[status(thm),theory(equality)],[c_117712,c_116138]) ).
tff(c_116734,plain,
! [X_568,Z_569] : ( multiply(inverse(inverse(X_568)),Z_569) = multiply(X_568,Z_569) ),
inference(superposition,[status(thm),theory(equality)],[c_116036,c_115602]) ).
tff(c_116741,plain,
! [X_568] : ( multiply(X_568,identity) = X_568 ),
inference(superposition,[status(thm),theory(equality)],[c_116734,c_116138]) ).
tff(c_30,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_115508,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_115422,c_30]) ).
tff(c_115421,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_115426,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115421,c_4]) ).
tff(c_115579,plain,
! [Z_547] : ( multiply(sk_c10,multiply(sk_c5,Z_547)) = multiply(identity,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_115426,c_115540]) ).
tff(c_115732,plain,
! [Z_554] : ( multiply(sk_c10,multiply(sk_c5,Z_554)) = Z_554 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115579]) ).
tff(c_115744,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_115508,c_115732]) ).
tff(c_116060,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_115744,c_116036]) ).
tff(c_116146,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116060]) ).
tff(c_115779,plain,
! [X_556,Z_557] : ( multiply(inverse(X_556),multiply(X_556,Z_557)) = Z_557 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115588]) ).
tff(c_115803,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_115744,c_115779]) ).
tff(c_115889,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_115803]) ).
tff(c_115797,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_115767,c_115779]) ).
tff(c_115888,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_115797]) ).
tff(c_115909,plain,
multiply(sk_c5,identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_115888,c_115508]) ).
tff(c_115981,plain,
multiply(sk_c5,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115889,c_115909]) ).
tff(c_115914,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115888,c_115421]) ).
tff(c_115700,plain,
! [X4_553] :
( ( inverse(X4_553) != sk_c11 )
| ( multiply(X4_553,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_115710,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_115519,c_115700]) ).
tff(c_115723,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115439,c_115710]) ).
tff(c_115724,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_115778,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_115724]) ).
tff(c_116013,plain,
! [X7_559] :
( ( multiply(inverse(X7_559),identity) != identity )
| ( multiply(X7_559,inverse(X7_559)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115888,c_115889,c_115888,c_115778]) ).
tff(c_116015,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(sk_c5,inverse(sk_c5)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_115914,c_116013]) ).
tff(c_116034,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115981,c_115914,c_2,c_116015]) ).
tff(c_116035,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_115724]) ).
tff(c_116269,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116146,c_116145,c_116145,c_116145,c_116145,c_116146,c_116145,c_116145,c_116145,c_116035]) ).
tff(c_116270,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_116269]) ).
tff(c_117331,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_116741,c_116270]) ).
tff(c_116170,plain,
multiply(identity,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116145,c_151]) ).
tff(c_116254,plain,
multiply(inverse(identity),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_116170,c_115602]) ).
tff(c_116266,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116254]) ).
tff(c_116172,plain,
inverse(sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116145,c_147]) ).
tff(c_116272,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116266,c_116172]) ).
tff(c_117333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117331,c_116272]) ).
tff(c_117334,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_116269]) ).
tff(c_163474,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c11 != X3_8 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117719,c_117719,c_117719,c_117334]) ).
tff(c_163476,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_163474]) ).
tff(c_163478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163476,c_117672]) ).
tff(c_163479,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_163474]) ).
tff(c_164302,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_163479]) ).
tff(c_164304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164302,c_117672]) ).
tff(c_164305,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_163479]) ).
tff(c_164307,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_164305]) ).
tff(c_117336,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116266,c_116172]) ).
tff(c_164309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164307,c_117336]) ).
tff(c_164312,plain,
! [X1_823] :
( ( inverse(X1_823) != sk_c11 )
| ( multiply(X1_823,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_164305]) ).
tff(c_164374,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_116161,c_164312]) ).
tff(c_164402,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117672,c_164374]) ).
tff(c_164404,plain,
inverse(sk_c2) != sk_c10,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_62,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_164485,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_164404,c_62]) ).
tff(c_64,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_164431,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_164404,c_64]) ).
tff(c_164435,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_164431,c_4]) ).
tff(c_164530,plain,
! [X_824,Y_825,Z_826] : ( multiply(multiply(X_824,Y_825),Z_826) = multiply(X_824,multiply(Y_825,Z_826)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_164566,plain,
! [Z_826] : ( multiply(sk_c11,multiply(sk_c4,Z_826)) = multiply(identity,Z_826) ),
inference(superposition,[status(thm),theory(equality)],[c_164435,c_164530]) ).
tff(c_164617,plain,
! [Z_828] : ( multiply(sk_c11,multiply(sk_c4,Z_828)) = Z_828 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164566]) ).
tff(c_164629,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_164485,c_164617]) ).
tff(c_164578,plain,
! [X_2,Z_826] : ( multiply(inverse(X_2),multiply(X_2,Z_826)) = multiply(identity,Z_826) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_164530]) ).
tff(c_165045,plain,
! [X_840,Z_841] : ( multiply(inverse(X_840),multiply(X_840,Z_841)) = Z_841 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164578]) ).
tff(c_165081,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_164629,c_165045]) ).
tff(c_165155,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_165081]) ).
tff(c_165176,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_164629]) ).
tff(c_165141,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_165045]) ).
tff(c_164403,plain,
inverse(sk_c6) = sk_c11,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_164408,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_164403,c_4]) ).
tff(c_165135,plain,
multiply(inverse(sk_c11),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_164408,c_165045]) ).
tff(c_166538,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_165141,c_165135]) ).
tff(c_72,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_164509,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_164404,c_72]) ).
tff(c_165178,plain,
multiply(sk_c6,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_164509]) ).
tff(c_166540,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_166538,c_165178]) ).
tff(c_165123,plain,
multiply(inverse(sk_c11),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_164435,c_165045]) ).
tff(c_166568,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_165141,c_165123]) ).
tff(c_164554,plain,
! [Z_826] : ( multiply(sk_c4,multiply(sk_c11,Z_826)) = multiply(sk_c10,Z_826) ),
inference(superposition,[status(thm),theory(equality)],[c_164485,c_164530]) ).
tff(c_166598,plain,
! [Z_861] : ( multiply(sk_c3,multiply(sk_c11,Z_861)) = Z_861 ),
inference(demodulation,[status(thm),theory(equality)],[c_166568,c_2,c_165155,c_164554]) ).
tff(c_166631,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_166598]) ).
tff(c_166640,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_166540,c_166631]) ).
tff(c_40,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_164443,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_164447,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_164443,c_4]) ).
tff(c_166628,plain,
multiply(sk_c3,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_164447,c_166598]) ).
tff(c_166680,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_165176,c_166640,c_166628]) ).
tff(c_166689,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_166680,c_164443]) ).
tff(c_164572,plain,
! [Z_826] : ( multiply(sk_c11,multiply(sk_c6,Z_826)) = multiply(identity,Z_826) ),
inference(superposition,[status(thm),theory(equality)],[c_164408,c_164530]) ).
tff(c_164718,plain,
! [Z_833] : ( multiply(sk_c11,multiply(sk_c6,Z_833)) = Z_833 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164572]) ).
tff(c_164730,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_164509,c_164718]) ).
tff(c_165175,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_164730]) ).
tff(c_166686,plain,
multiply(sk_c1,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_166680,c_166680,c_165175]) ).
tff(c_164592,plain,
! [X_2,Z_826] : ( multiply(inverse(X_2),multiply(X_2,Z_826)) = Z_826 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164578]) ).
tff(c_166760,plain,
! [X_862,Z_863] : ( multiply(inverse(inverse(X_862)),Z_863) = multiply(X_862,Z_863) ),
inference(superposition,[status(thm),theory(equality)],[c_165045,c_164592]) ).
tff(c_165147,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_165045]) ).
tff(c_166767,plain,
! [X_862] : ( multiply(X_862,identity) = X_862 ),
inference(superposition,[status(thm),theory(equality)],[c_166760,c_165147]) ).
tff(c_165696,plain,
! [X_846,Z_847] : ( multiply(inverse(inverse(X_846)),Z_847) = multiply(X_846,Z_847) ),
inference(superposition,[status(thm),theory(equality)],[c_165045,c_164592]) ).
tff(c_165703,plain,
! [X_846] : ( multiply(X_846,identity) = X_846 ),
inference(superposition,[status(thm),theory(equality)],[c_165696,c_165147]) ).
tff(c_66,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_164502,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_164404,c_66]) ).
tff(c_68,plain,
( ( inverse(sk_c5) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_164417,plain,
inverse(sk_c5) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_164404,c_68]) ).
tff(c_164421,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_164417,c_4]) ).
tff(c_164569,plain,
! [Z_826] : ( multiply(sk_c10,multiply(sk_c5,Z_826)) = multiply(identity,Z_826) ),
inference(superposition,[status(thm),theory(equality)],[c_164421,c_164530]) ).
tff(c_164741,plain,
! [Z_834] : ( multiply(sk_c10,multiply(sk_c5,Z_834)) = Z_834 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164569]) ).
tff(c_164753,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_164502,c_164741]) ).
tff(c_165066,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_164753,c_165045]) ).
tff(c_165154,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_165066]) ).
tff(c_164778,plain,
! [X_836,Z_837] : ( multiply(inverse(X_836),multiply(X_836,Z_837)) = Z_837 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_164578]) ).
tff(c_164814,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_164629,c_164778]) ).
tff(c_164888,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_164814]) ).
tff(c_164914,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_164888,c_164421]) ).
tff(c_164972,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_164914,c_164592]) ).
tff(c_164984,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_164972]) ).
tff(c_164915,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_164888,c_164417]) ).
tff(c_165019,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_164984,c_164915]) ).
tff(c_164799,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_164753,c_164778]) ).
tff(c_164887,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_164799]) ).
tff(c_164693,plain,
! [X4_832] :
( ( inverse(X4_832) != sk_c11 )
| ( multiply(X4_832,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_164703,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_164485,c_164693]) ).
tff(c_164716,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164431,c_164703]) ).
tff(c_164717,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_164777,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_164717]) ).
tff(c_164987,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),identity) != identity )
| ( multiply(X7_9,inverse(X7_9)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164888,c_164888,c_164887,c_164777]) ).
tff(c_165032,plain,
( ( multiply(identity,identity) != identity )
| ( multiply(identity,inverse(identity)) != identity ) ),
inference(superposition,[status(thm),theory(equality)],[c_165019,c_164987]) ).
tff(c_165043,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_165019,c_2,c_2,c_165032]) ).
tff(c_165044,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_164717]) ).
tff(c_165189,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_165154,c_165155,c_165155,c_165155,c_165155,c_165154,c_165155,c_165155,c_165044]) ).
tff(c_165190,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_165189]) ).
tff(c_166303,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_165703,c_165190]) ).
tff(c_165182,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_164417]) ).
tff(c_165197,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_165182,c_4]) ).
tff(c_165205,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_165197,c_164592]) ).
tff(c_165217,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_165205]) ).
tff(c_165221,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_165217,c_165182]) ).
tff(c_166305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166303,c_165221]) ).
tff(c_166306,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_165189]) ).
tff(c_208135,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166680,c_166767,c_166680,c_166767,c_166680,c_166680,c_166680,c_166767,c_166680,c_166306]) ).
tff(c_208137,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_208135]) ).
tff(c_208139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_208137,c_166689]) ).
tff(c_208140,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_208135]) ).
tff(c_309150,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_208140]) ).
tff(c_309152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309150,c_166689]) ).
tff(c_309153,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_208140]) ).
tff(c_309155,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_309153]) ).
tff(c_165181,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_165155,c_164421]) ).
tff(c_166321,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_165181,c_164592]) ).
tff(c_166333,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_166321]) ).
tff(c_166366,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_166333,c_165182]) ).
tff(c_309157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_309155,c_166366]) ).
tff(c_311933,plain,
! [X1_1319] :
( ( inverse(X1_1319) != sk_c1 )
| ( multiply(X1_1319,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_309153]) ).
tff(c_312007,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_166686,c_311933]) ).
tff(c_312038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166689,c_312007]) ).
tff(c_312040,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_312092,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_312040,c_30]) ).
tff(c_312123,plain,
! [X_1320,Y_1321,Z_1322] : ( multiply(multiply(X_1320,Y_1321),Z_1322) = multiply(X_1320,multiply(Y_1321,Z_1322)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_312159,plain,
! [Z_1322] : ( multiply(sk_c10,multiply(sk_c5,Z_1322)) = multiply(identity,Z_1322) ),
inference(superposition,[status(thm),theory(equality)],[c_164421,c_312123]) ).
tff(c_312358,plain,
! [Z_1331] : ( multiply(sk_c10,multiply(sk_c5,Z_1331)) = Z_1331 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_312159]) ).
tff(c_312370,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_312092,c_312358]) ).
tff(c_312168,plain,
! [X_2,Z_1322] : ( multiply(inverse(X_2),multiply(X_2,Z_1322)) = multiply(identity,Z_1322) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_312123]) ).
tff(c_312982,plain,
! [X_1341,Z_1342] : ( multiply(inverse(X_1341),multiply(X_1341,Z_1342)) = Z_1342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_312168]) ).
tff(c_313057,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_312370,c_312982]) ).
tff(c_313150,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_313057]) ).
tff(c_312077,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_312040,c_36]) ).
tff(c_312584,plain,
! [Z_1336] : ( multiply(sk_c6,multiply(sk_c10,Z_1336)) = multiply(sk_c11,Z_1336) ),
inference(superposition,[status(thm),theory(equality)],[c_312077,c_312123]) ).
tff(c_312602,plain,
multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_312370,c_312584]) ).
tff(c_312613,plain,
multiply(sk_c11,sk_c9) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_312077,c_312602]) ).
tff(c_313255,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313150,c_312613]) ).
tff(c_74,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c2) = sk_c10 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_312071,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_164404,c_74]) ).
tff(c_312039,plain,
inverse(sk_c7) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_312044,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_312039,c_4]) ).
tff(c_312153,plain,
! [Z_1322] : ( multiply(sk_c8,multiply(sk_c7,Z_1322)) = multiply(identity,Z_1322) ),
inference(superposition,[status(thm),theory(equality)],[c_312044,c_312123]) ).
tff(c_312335,plain,
! [Z_1330] : ( multiply(sk_c8,multiply(sk_c7,Z_1330)) = Z_1330 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_312153]) ).
tff(c_312347,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_312071,c_312335]) ).
tff(c_313063,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_312347,c_312982]) ).
tff(c_313151,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_313063]) ).
tff(c_312162,plain,
! [Z_1322] : ( multiply(sk_c11,multiply(sk_c6,Z_1322)) = multiply(identity,Z_1322) ),
inference(superposition,[status(thm),theory(equality)],[c_164408,c_312123]) ).
tff(c_312268,plain,
! [Z_1327] : ( multiply(sk_c11,multiply(sk_c6,Z_1327)) = Z_1327 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_312162]) ).
tff(c_312280,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_312077,c_312268]) ).
tff(c_312287,plain,
! [Z_5] : ( multiply(sk_c11,multiply(sk_c11,Z_5)) = multiply(sk_c10,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_312280,c_6]) ).
tff(c_314266,plain,
! [Z_1360] : ( multiply(sk_c11,multiply(sk_c11,Z_1360)) = Z_1360 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_313151,c_312287]) ).
tff(c_314296,plain,
multiply(sk_c11,identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_137,c_314266]) ).
tff(c_314304,plain,
sk_c3 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313255,c_314296]) ).
tff(c_314311,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_314304,c_133]) ).
tff(c_313238,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_313151,c_312280]) ).
tff(c_312181,plain,
! [X_2,Z_1322] : ( multiply(inverse(X_2),multiply(X_2,Z_1322)) = Z_1322 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_312168]) ).
tff(c_314355,plain,
! [X_1361,Z_1362] : ( multiply(inverse(inverse(X_1361)),Z_1362) = multiply(X_1361,Z_1362) ),
inference(superposition,[status(thm),theory(equality)],[c_312181,c_312982]) ).
tff(c_313129,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_312982]) ).
tff(c_314362,plain,
! [X_1361] : ( multiply(X_1361,identity) = X_1361 ),
inference(superposition,[status(thm),theory(equality)],[c_314355,c_313129]) ).
tff(c_313503,plain,
! [X_1347,Z_1348] : ( multiply(inverse(inverse(X_1347)),Z_1348) = multiply(X_1347,Z_1348) ),
inference(superposition,[status(thm),theory(equality)],[c_312982,c_312181]) ).
tff(c_313510,plain,
! [X_1347] : ( multiply(X_1347,identity) = X_1347 ),
inference(superposition,[status(thm),theory(equality)],[c_313503,c_313129]) ).
tff(c_42,plain,
( ( multiply(sk_c8,sk_c9) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_312059,plain,
multiply(sk_c8,sk_c9) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_312040,c_42]) ).
tff(c_312083,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_164404,c_62]) ).
tff(c_312243,plain,
! [X4_1326] :
( ( inverse(X4_1326) != sk_c11 )
| ( multiply(X4_1326,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_312253,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_312083,c_312243]) ).
tff(c_312266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164431,c_312253]) ).
tff(c_312267,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_312523,plain,
! [X7_1334] :
( ( multiply(inverse(X7_1334),sk_c9) != sk_c10 )
| ( multiply(X7_1334,inverse(X7_1334)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_312267]) ).
tff(c_312525,plain,
( ( multiply(sk_c8,sk_c9) != sk_c10 )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c10 ) ),
inference(superposition,[status(thm),theory(equality)],[c_312039,c_312523]) ).
tff(c_312539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_312071,c_312039,c_312059,c_312525]) ).
tff(c_312540,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_312267]) ).
tff(c_312786,plain,
! [X5_1338] :
( ( inverse(X5_1338) != sk_c10 )
| ( multiply(X5_1338,sk_c10) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_312540]) ).
tff(c_312808,plain,
inverse(sk_c5) != sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_312092,c_312786]) ).
tff(c_312825,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164417,c_312808]) ).
tff(c_312826,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_312540]) ).
tff(c_312939,plain,
! [X3_1340] :
( ( multiply(X3_1340,sk_c10) != sk_c11 )
| ( inverse(X3_1340) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_312826]) ).
tff(c_312964,plain,
inverse(sk_c6) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_312077,c_312939]) ).
tff(c_312980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164403,c_312964]) ).
tff(c_312981,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_312826]) ).
tff(c_313264,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_313151,c_313151,c_313150,c_313151,c_313151,c_312981]) ).
tff(c_313265,plain,
! [X6_7] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitLeft,[status(thm)],[c_313264]) ).
tff(c_314065,plain,
inverse(sk_c11) != sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313510,c_313265]) ).
tff(c_313550,plain,
! [X_1349] : ( multiply(X_1349,identity) = X_1349 ),
inference(superposition,[status(thm),theory(equality)],[c_313503,c_313129]) ).
tff(c_312304,plain,
! [Z_1329] : ( multiply(sk_c4,multiply(sk_c11,Z_1329)) = multiply(sk_c10,Z_1329) ),
inference(superposition,[status(thm),theory(equality)],[c_312083,c_312123]) ).
tff(c_312331,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_137,c_312304]) ).
tff(c_312328,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c6),
inference(superposition,[status(thm),theory(equality)],[c_164408,c_312304]) ).
tff(c_312649,plain,
multiply(sk_c10,sk_c6) = multiply(sk_c10,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_312331,c_312328]) ).
tff(c_313030,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c3)) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_312649,c_312982]) ).
tff(c_313142,plain,
sk_c6 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_312181,c_313030]) ).
tff(c_313167,plain,
multiply(sk_c3,sk_c10) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313142,c_312077]) ).
tff(c_313376,plain,
multiply(sk_c3,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313151,c_313167]) ).
tff(c_313563,plain,
sk_c3 = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_313550,c_313376]) ).
tff(c_312325,plain,
multiply(sk_c4,identity) = multiply(sk_c10,sk_c4),
inference(superposition,[status(thm),theory(equality)],[c_164435,c_312304]) ).
tff(c_312625,plain,
multiply(sk_c10,sk_c4) = multiply(sk_c10,sk_c3),
inference(demodulation,[status(thm),theory(equality)],[c_312331,c_312325]) ).
tff(c_313036,plain,
multiply(inverse(sk_c10),multiply(sk_c10,sk_c3)) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_312625,c_312982]) ).
tff(c_313144,plain,
sk_c4 = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_312181,c_313036]) ).
tff(c_313105,plain,
multiply(inverse(sk_c11),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_164435,c_312982]) ).
tff(c_313462,plain,
multiply(inverse(sk_c11),identity) = sk_c3,
inference(demodulation,[status(thm),theory(equality)],[c_313144,c_313105]) ).
tff(c_313560,plain,
inverse(sk_c11) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_313550,c_313462]) ).
tff(c_313699,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_313563,c_313560]) ).
tff(c_314067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_314065,c_313699]) ).
tff(c_314068,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_313264]) ).
tff(c_330311,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_314362,c_314068]) ).
tff(c_330313,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_330311]) ).
tff(c_313132,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_312982]) ).
tff(c_313243,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_313151,c_164417]) ).
tff(c_314139,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_313243,c_313129]) ).
tff(c_314148,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_313132,c_314139]) ).
tff(c_314150,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_314148,c_313243]) ).
tff(c_330315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330313,c_314150]) ).
tff(c_330317,plain,
! [X1_1486] :
( ( inverse(X1_1486) != sk_c11 )
| ( multiply(X1_1486,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_330311]) ).
tff(c_330361,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_313238,c_330317]) ).
tff(c_330385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_314311,c_330361]) ).
tff(c_330387,plain,
inverse(sk_c3) != sk_c11,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c11) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_446437,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_330387,c_80]) ).
tff(c_82,plain,
( ( inverse(sk_c4) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_446398,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_330387,c_82]) ).
tff(c_446402,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_446398,c_4]) ).
tff(c_446497,plain,
! [X_1927,Y_1928,Z_1929] : ( multiply(multiply(X_1927,Y_1928),Z_1929) = multiply(X_1927,multiply(Y_1928,Z_1929)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_446530,plain,
! [Z_1929] : ( multiply(sk_c11,multiply(sk_c4,Z_1929)) = multiply(identity,Z_1929) ),
inference(superposition,[status(thm),theory(equality)],[c_446402,c_446497]) ).
tff(c_446691,plain,
! [Z_1936] : ( multiply(sk_c11,multiply(sk_c4,Z_1936)) = Z_1936 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446530]) ).
tff(c_446703,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_446437,c_446691]) ).
tff(c_446542,plain,
! [X_2,Z_1929] : ( multiply(inverse(X_2),multiply(X_2,Z_1929)) = multiply(identity,Z_1929) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_446497]) ).
tff(c_447005,plain,
! [X_1943,Z_1944] : ( multiply(inverse(X_1943),multiply(X_1943,Z_1944)) = Z_1944 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446542]) ).
tff(c_447026,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_446703,c_447005]) ).
tff(c_447105,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_447026]) ).
tff(c_330486,plain,
multiply(sk_c4,sk_c11) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_330387,c_80]) ).
tff(c_330440,plain,
inverse(sk_c4) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_330387,c_82]) ).
tff(c_330444,plain,
multiply(sk_c11,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_330440,c_4]) ).
tff(c_330527,plain,
! [X_1487,Y_1488,Z_1489] : ( multiply(multiply(X_1487,Y_1488),Z_1489) = multiply(X_1487,multiply(Y_1488,Z_1489)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_330560,plain,
! [Z_1489] : ( multiply(sk_c11,multiply(sk_c4,Z_1489)) = multiply(identity,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_330444,c_330527]) ).
tff(c_330693,plain,
! [Z_1494] : ( multiply(sk_c11,multiply(sk_c4,Z_1494)) = Z_1494 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330560]) ).
tff(c_330705,plain,
multiply(sk_c11,sk_c10) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_330486,c_330693]) ).
tff(c_330575,plain,
! [X_2,Z_1489] : ( multiply(inverse(X_2),multiply(X_2,Z_1489)) = multiply(identity,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_330527]) ).
tff(c_331050,plain,
! [X_1504,Z_1505] : ( multiply(inverse(X_1504),multiply(X_1504,Z_1505)) = Z_1505 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330575]) ).
tff(c_331080,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_330705,c_331050]) ).
tff(c_331160,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_331080]) ).
tff(c_331181,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_331160,c_330705]) ).
tff(c_90,plain,
( ( multiply(sk_c6,sk_c10) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_330491,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_330387,c_90]) ).
tff(c_88,plain,
( ( inverse(sk_c6) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_330426,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_330387,c_88]) ).
tff(c_330430,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_330426,c_4]) ).
tff(c_330563,plain,
! [Z_1489] : ( multiply(sk_c11,multiply(sk_c6,Z_1489)) = multiply(identity,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_330430,c_330527]) ).
tff(c_330614,plain,
! [Z_1491] : ( multiply(sk_c11,multiply(sk_c6,Z_1491)) = Z_1491 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330563]) ).
tff(c_330626,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_330491,c_330614]) ).
tff(c_331182,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331160,c_330626]) ).
tff(c_330548,plain,
! [Z_1489] : ( multiply(sk_c4,multiply(sk_c11,Z_1489)) = multiply(sk_c10,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_330486,c_330527]) ).
tff(c_332610,plain,
! [Z_1527] : ( multiply(sk_c4,multiply(sk_c11,Z_1527)) = Z_1527 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_331160,c_330548]) ).
tff(c_332628,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_331182,c_332610]) ).
tff(c_332640,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_330444,c_332610]) ).
tff(c_332704,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_332628,c_332640]) ).
tff(c_330395,plain,
inverse(sk_c1) = sk_c11,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_330399,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_330395,c_4]) ).
tff(c_332646,plain,
multiply(sk_c4,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_330399,c_332610]) ).
tff(c_332759,plain,
sk_c11 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_331181,c_332704,c_332646]) ).
tff(c_332767,plain,
inverse(sk_c1) = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_332759,c_330395]) ).
tff(c_332788,plain,
multiply(sk_c1,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_332767,c_4]) ).
tff(c_330589,plain,
! [X_2,Z_1489] : ( multiply(inverse(X_2),multiply(X_2,Z_1489)) = Z_1489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330575]) ).
tff(c_332853,plain,
! [X_1529,Z_1530] : ( multiply(inverse(inverse(X_1529)),Z_1530) = multiply(X_1529,Z_1530) ),
inference(superposition,[status(thm),theory(equality)],[c_330589,c_331050]) ).
tff(c_331152,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_331050]) ).
tff(c_332860,plain,
! [X_1529] : ( multiply(X_1529,identity) = X_1529 ),
inference(superposition,[status(thm),theory(equality)],[c_332853,c_331152]) ).
tff(c_331639,plain,
! [X_1510,Z_1511] : ( multiply(inverse(inverse(X_1510)),Z_1511) = multiply(X_1510,Z_1511) ),
inference(superposition,[status(thm),theory(equality)],[c_330589,c_331050]) ).
tff(c_331646,plain,
! [X_1510] : ( multiply(X_1510,identity) = X_1510 ),
inference(superposition,[status(thm),theory(equality)],[c_331639,c_331152]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c10) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_330467,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_330387,c_84]) ).
tff(c_330386,plain,
inverse(sk_c5) = sk_c10,
inference(splitRight,[status(thm)],[c_86]) ).
tff(c_330391,plain,
multiply(sk_c10,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_330386,c_4]) ).
tff(c_330572,plain,
! [Z_1489] : ( multiply(sk_c10,multiply(sk_c5,Z_1489)) = multiply(identity,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_330391,c_330527]) ).
tff(c_330716,plain,
! [Z_1495] : ( multiply(sk_c10,multiply(sk_c5,Z_1495)) = Z_1495 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330572]) ).
tff(c_330728,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_330467,c_330716]) ).
tff(c_331074,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_330728,c_331050]) ).
tff(c_331159,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_331074]) ).
tff(c_330766,plain,
! [X_1498,Z_1499] : ( multiply(inverse(X_1498),multiply(X_1498,Z_1499)) = Z_1499 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330575]) ).
tff(c_330871,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_330766]) ).
tff(c_92,plain,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_330506,plain,
multiply(sk_c7,sk_c8) = sk_c10,
inference(negUnitSimplification,[status(thm)],[c_330387,c_92]) ).
tff(c_94,plain,
( ( inverse(sk_c7) = sk_c8 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_330453,plain,
inverse(sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_330387,c_94]) ).
tff(c_330457,plain,
multiply(sk_c8,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_330453,c_4]) ).
tff(c_330557,plain,
! [Z_1489] : ( multiply(sk_c8,multiply(sk_c7,Z_1489)) = multiply(identity,Z_1489) ),
inference(superposition,[status(thm),theory(equality)],[c_330457,c_330527]) ).
tff(c_330591,plain,
! [Z_1490] : ( multiply(sk_c8,multiply(sk_c7,Z_1490)) = Z_1490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330557]) ).
tff(c_330603,plain,
multiply(sk_c8,sk_c10) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_330506,c_330591]) ).
tff(c_330808,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_330603,c_330766]) ).
tff(c_330877,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_330808]) ).
tff(c_330790,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_330728,c_330766]) ).
tff(c_330875,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_330790]) ).
tff(c_330661,plain,
! [X4_1493] :
( ( inverse(X4_1493) != sk_c11 )
| ( multiply(X4_1493,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_330671,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_330486,c_330661]) ).
tff(c_330684,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_330440,c_330671]) ).
tff(c_330685,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_330739,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_330685]) ).
tff(c_330969,plain,
! [X7_1501] :
( ( multiply(inverse(X7_1501),identity) != identity )
| ( multiply(X7_1501,inverse(X7_1501)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_330877,c_330877,c_330875,c_330739]) ).
tff(c_330976,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_330871,c_330969]) ).
tff(c_330993,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_330976]) ).
tff(c_330941,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_330877,c_330391]) ).
tff(c_331009,plain,
sk_c5 = identity,
inference(superposition,[status(thm),theory(equality)],[c_330941,c_2]) ).
tff(c_330942,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_330877,c_330386]) ).
tff(c_331019,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331009,c_330942]) ).
tff(c_331022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_330993,c_331019]) ).
tff(c_331023,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_330685]) ).
tff(c_331195,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_331160,c_331159,c_331160,c_331160,c_331160,c_331160,c_331159,c_331160,c_331160,c_331023]) ).
tff(c_331196,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_331195]) ).
tff(c_332335,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_331646,c_331196]) ).
tff(c_331190,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331160,c_330386]) ).
tff(c_331204,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_331190,c_4]) ).
tff(c_331221,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_331204,c_330589]) ).
tff(c_331233,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_331221]) ).
tff(c_331237,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331233,c_331190]) ).
tff(c_332337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_332335,c_331237]) ).
tff(c_332338,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != identity )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_331195]) ).
tff(c_374540,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c1 != X3_8 )
| ( inverse(X3_8) != sk_c1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_332759,c_332860,c_332759,c_332860,c_332759,c_332759,c_332759,c_332860,c_332759,c_332338]) ).
tff(c_374542,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_374540]) ).
tff(c_374544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_374542,c_332767]) ).
tff(c_374545,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( sk_c1 != X6_7 )
| ( inverse(X6_7) != sk_c1 ) ),
inference(splitRight,[status(thm)],[c_374540]) ).
tff(c_446255,plain,
inverse(sk_c1) != sk_c1,
inference(splitLeft,[status(thm)],[c_374545]) ).
tff(c_446257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446255,c_332767]) ).
tff(c_446258,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c1 )
| ( multiply(X1_10,sk_c1) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_374545]) ).
tff(c_446260,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_446258]) ).
tff(c_331189,plain,
multiply(identity,sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_331160,c_330391]) ).
tff(c_332455,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_331189,c_330589]) ).
tff(c_332467,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_332455]) ).
tff(c_332472,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_332467,c_331190]) ).
tff(c_446262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446260,c_332472]) ).
tff(c_446265,plain,
! [X1_1926] :
( ( inverse(X1_1926) != sk_c1 )
| ( multiply(X1_1926,sk_c1) != identity ) ),
inference(splitRight,[status(thm)],[c_446258]) ).
tff(c_446335,plain,
inverse(sk_c1) != sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_332788,c_446265]) ).
tff(c_446365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_332767,c_446335]) ).
tff(c_446367,plain,
inverse(sk_c1) != sk_c11,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_446443,plain,
multiply(sk_c6,sk_c10) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_446367,c_36]) ).
tff(c_446414,plain,
inverse(sk_c6) = sk_c11,
inference(negUnitSimplification,[status(thm)],[c_446367,c_34]) ).
tff(c_446418,plain,
multiply(sk_c11,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_446414,c_4]) ).
tff(c_446527,plain,
! [Z_1929] : ( multiply(sk_c11,multiply(sk_c6,Z_1929)) = multiply(identity,Z_1929) ),
inference(superposition,[status(thm),theory(equality)],[c_446418,c_446497]) ).
tff(c_446557,plain,
! [Z_1930] : ( multiply(sk_c11,multiply(sk_c6,Z_1930)) = Z_1930 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446527]) ).
tff(c_446569,plain,
multiply(sk_c11,sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_446443,c_446557]) ).
tff(c_447122,plain,
multiply(sk_c11,sk_c11) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_447105,c_446569]) ).
tff(c_446521,plain,
! [Z_1929] : ( multiply(sk_c4,multiply(sk_c11,Z_1929)) = multiply(sk_c10,Z_1929) ),
inference(superposition,[status(thm),theory(equality)],[c_446437,c_446497]) ).
tff(c_448534,plain,
! [Z_1966] : ( multiply(sk_c4,multiply(sk_c11,Z_1966)) = Z_1966 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_447105,c_446521]) ).
tff(c_448555,plain,
multiply(sk_c4,identity) = sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_447122,c_448534]) ).
tff(c_448564,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_446402,c_448534]) ).
tff(c_448603,plain,
sk_c4 = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_448555,c_448564]) ).
tff(c_448626,plain,
inverse(sk_c11) = sk_c11,
inference(demodulation,[status(thm),theory(equality)],[c_448603,c_446398]) ).
tff(c_446555,plain,
! [X_2,Z_1929] : ( multiply(inverse(X_2),multiply(X_2,Z_1929)) = Z_1929 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446542]) ).
tff(c_448705,plain,
! [X_1968,Z_1969] : ( multiply(inverse(inverse(X_1968)),Z_1969) = multiply(X_1968,Z_1969) ),
inference(superposition,[status(thm),theory(equality)],[c_447005,c_446555]) ).
tff(c_447098,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_447005]) ).
tff(c_448712,plain,
! [X_1968] : ( multiply(X_1968,identity) = X_1968 ),
inference(superposition,[status(thm),theory(equality)],[c_448705,c_447098]) ).
tff(c_446432,plain,
multiply(sk_c5,sk_c10) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_330387,c_84]) ).
tff(c_446539,plain,
! [Z_1929] : ( multiply(sk_c10,multiply(sk_c5,Z_1929)) = multiply(identity,Z_1929) ),
inference(superposition,[status(thm),theory(equality)],[c_330391,c_446497]) ).
tff(c_446668,plain,
! [Z_1935] : ( multiply(sk_c10,multiply(sk_c5,Z_1935)) = Z_1935 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446539]) ).
tff(c_446680,plain,
multiply(sk_c10,sk_c9) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_446432,c_446668]) ).
tff(c_447032,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_446680,c_447005]) ).
tff(c_447106,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_447032]) ).
tff(c_447587,plain,
! [X_1949,Z_1950] : ( multiply(inverse(inverse(X_1949)),Z_1950) = multiply(X_1949,Z_1950) ),
inference(superposition,[status(thm),theory(equality)],[c_447005,c_446555]) ).
tff(c_447594,plain,
! [X_1949] : ( multiply(X_1949,identity) = X_1949 ),
inference(superposition,[status(thm),theory(equality)],[c_447587,c_447098]) ).
tff(c_446728,plain,
! [X_1938,Z_1939] : ( multiply(inverse(X_1938),multiply(X_1938,Z_1939)) = Z_1939 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446542]) ).
tff(c_446824,plain,
! [X_1] : ( multiply(inverse(identity),X_1) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_446728]) ).
tff(c_446749,plain,
multiply(inverse(sk_c11),sk_c11) = sk_c10,
inference(superposition,[status(thm),theory(equality)],[c_446703,c_446728]) ).
tff(c_446828,plain,
sk_c10 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_446749]) ).
tff(c_446755,plain,
multiply(inverse(sk_c10),sk_c10) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_446680,c_446728]) ).
tff(c_446829,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_446755]) ).
tff(c_446620,plain,
! [X4_1933] :
( ( inverse(X4_1933) != sk_c11 )
| ( multiply(X4_1933,sk_c11) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_446630,plain,
inverse(sk_c4) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_446437,c_446620]) ).
tff(c_446643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_446398,c_446630]) ).
tff(c_446644,plain,
! [X5_6,X3_8,X1_10,X7_9,X6_7,X2_11] :
( ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_446707,plain,
! [X7_9] :
( ( multiply(inverse(X7_9),sk_c9) != sk_c10 )
| ( multiply(X7_9,inverse(X7_9)) != sk_c10 ) ),
inference(splitLeft,[status(thm)],[c_446644]) ).
tff(c_446921,plain,
! [X7_1941] :
( ( multiply(inverse(X7_1941),identity) != identity )
| ( multiply(X7_1941,inverse(X7_1941)) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_446828,c_446829,c_446828,c_446707]) ).
tff(c_446928,plain,
multiply(identity,inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_446824,c_446921]) ).
tff(c_446943,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_446928]) ).
tff(c_446890,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_446828,c_330386]) ).
tff(c_446906,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_446890,c_4]) ).
tff(c_446964,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_446906,c_446555]) ).
tff(c_446976,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_446964]) ).
tff(c_446980,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_446976,c_446890]) ).
tff(c_446983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_446943,c_446980]) ).
tff(c_446984,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,sk_c10) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != sk_c10 )
| ( multiply(X2_11,sk_c10) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != sk_c10 )
| ( multiply(X6_7,sk_c10) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != sk_c10 )
| ( multiply(X5_6,sk_c10) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_446644]) ).
tff(c_447136,plain,
! [X5_6,X3_8,X1_10,X6_7,X2_11] :
( ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_447105,c_447105,c_447105,c_447105,c_447105,c_447105,c_447105,c_446984]) ).
tff(c_447137,plain,
! [X5_6] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c9 ) ),
inference(splitLeft,[status(thm)],[c_447136]) ).
tff(c_448215,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_447594,c_447106,c_447137]) ).
tff(c_447131,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_447105,c_330386]) ).
tff(c_447149,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_447131,c_4]) ).
tff(c_447156,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_447149,c_446555]) ).
tff(c_447168,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_447156]) ).
tff(c_447172,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_447168,c_447131]) ).
tff(c_448217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_448215,c_447172]) ).
tff(c_448218,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( multiply(X6_7,identity) != sk_c11 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( multiply(X2_11,identity) != sk_c9 )
| ( multiply(X3_8,identity) != sk_c11 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_447136]) ).
tff(c_506592,plain,
! [X6_7,X1_10,X2_11,X3_8] :
( ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( sk_c11 != X3_8 )
| ( inverse(X3_8) != sk_c11 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_448712,c_448712,c_447106,c_448712,c_448218]) ).
tff(c_506594,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_506592]) ).
tff(c_506596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_506594,c_448626]) ).
tff(c_506597,plain,
! [X2_11,X1_10,X6_7] :
( ( inverse(X2_11) != identity )
| ( identity != X2_11 )
| ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( sk_c11 != X6_7 )
| ( inverse(X6_7) != sk_c11 ) ),
inference(splitRight,[status(thm)],[c_506592]) ).
tff(c_508632,plain,
inverse(sk_c11) != sk_c11,
inference(splitLeft,[status(thm)],[c_506597]) ).
tff(c_508634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_508632,c_448626]) ).
tff(c_508635,plain,
! [X1_10,X2_11] :
( ( inverse(X1_10) != sk_c11 )
| ( multiply(X1_10,sk_c11) != identity )
| ( inverse(X2_11) != identity )
| ( identity != X2_11 ) ),
inference(splitRight,[status(thm)],[c_506597]) ).
tff(c_508637,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_508635]) ).
tff(c_448249,plain,
multiply(identity,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_447131,c_4]) ).
tff(c_448266,plain,
multiply(inverse(identity),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_448249,c_446555]) ).
tff(c_448278,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_448266]) ).
tff(c_448282,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_448278,c_447131]) ).
tff(c_508639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_508637,c_448282]) ).
tff(c_510097,plain,
! [X1_2246] :
( ( inverse(X1_2246) != sk_c11 )
| ( multiply(X1_2246,sk_c11) != identity ) ),
inference(splitRight,[status(thm)],[c_508635]) ).
tff(c_510159,plain,
inverse(sk_c11) != sk_c11,
inference(superposition,[status(thm),theory(equality)],[c_447122,c_510097]) ).
tff(c_510187,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_448626,c_510159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP244-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:28:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 87.31/71.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.56/71.94
% 87.56/71.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 87.80/72.04
% 87.80/72.04 Inference rules
% 87.80/72.04 ----------------------
% 87.80/72.04 #Ref : 0
% 87.80/72.04 #Sup : 120900
% 87.80/72.04 #Fact : 0
% 87.80/72.04 #Define : 0
% 87.80/72.04 #Split : 64
% 87.80/72.04 #Chain : 0
% 87.80/72.04 #Close : 0
% 87.80/72.04
% 87.80/72.04 Ordering : KBO
% 87.80/72.04
% 87.80/72.04 Simplification rules
% 87.80/72.04 ----------------------
% 87.80/72.04 #Subsume : 10
% 87.80/72.04 #Demod : 491154
% 87.80/72.04 #Tautology : 101174
% 87.80/72.04 #SimpNegUnit : 113
% 87.80/72.04 #BackRed : 829
% 87.80/72.04
% 87.80/72.04 #Partial instantiations: 0
% 87.80/72.04 #Strategies tried : 1
% 87.80/72.04
% 87.80/72.04 Timing (in seconds)
% 87.80/72.04 ----------------------
% 87.80/72.04 Preprocessing : 0.58
% 87.80/72.04 Parsing : 0.22
% 87.80/72.04 CNF conversion : 0.03
% 87.80/72.04 Main loop : 70.21
% 87.80/72.04 Inferencing : 9.21
% 87.80/72.04 Reduction : 54.66
% 87.80/72.04 Demodulation : 53.00
% 87.80/72.04 BG Simplification : 0.62
% 87.80/72.04 Subsumption : 4.36
% 87.80/72.04 Abstraction : 2.51
% 87.80/72.04 MUC search : 0.00
% 87.80/72.04 Cooper : 0.00
% 87.80/72.04 Total : 71.01
% 87.80/72.04 Index Insertion : 0.00
% 87.80/72.04 Index Deletion : 0.00
% 87.80/72.04 Index Matching : 0.00
% 87.80/72.04 BG Taut test : 0.00
%------------------------------------------------------------------------------